n = 7 (m = 3): trajectories parallel to the side X_0 X_(n-1); exact arithmetic in Q(zeta_14)
j= 1  simple preclosed piece: 2 segments, length 3.2470 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b =  3 = -4j mod n; factor  7 = n/gcd(n,j); closed trajectory: 14 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j= 2  simple preclosed piece: 2 segments, length 4.0489 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b =  6 = -4j mod n; factor  7 = n/gcd(n,j); closed trajectory: 14 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j= 3  simple preclosed piece: 2 segments, length 1.8019 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b =  2 = -4j mod n; factor  7 = n/gcd(n,j); closed trajectory: 14 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
factors d_1..d_m: [7, 7, 7] ; gcd = 7 ; a quotient equals n: False
DONE [0.0s]
